Search a number
-
+
10506160057 is a prime number
BaseRepresentation
bin10011100100011011…
…10100011110111001
31000010012012020012011
421302031310132321
5133004034110212
64454303245521
7521231613151
oct116215643671
930105166164
1010506160057
1145014a9608
1220525a98a1
13cb581b373
1471947d761
154175414a7
hex2723747b9

10506160057 has 2 divisors, whose sum is σ = 10506160058. Its totient is φ = 10506160056.

The previous prime is 10506160051. The next prime is 10506160061. The reversal of 10506160057 is 75006160501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9059422761 + 1446737296 = 95181^2 + 38036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10506160057 is a prime.

It is a super-2 number, since 2×105061600572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10506160051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253080028 + 5253080029.

It is an arithmetic number, because the mean of its divisors is an integer number (5253080029).

Almost surely, 210506160057 is an apocalyptic number.

It is an amenable number.

10506160057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506160057 is an equidigital number, since it uses as much as digits as its factorization.

10506160057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 10506160057 in words is "ten billion, five hundred six million, one hundred sixty thousand, fifty-seven".